Tagesschule is presumably a school system which covers the whole day.
Tagesstätte is, to those of us without pre-school-aged children, a place to which elderly relatives, who are normally cared for by us, can be taken for a day. This gives us a breathing space and them a chance to meet other folk and perhaps indulge in some interesting activity.

I assume that is not the answer you expected. To a Mum with small children, it will likely be a similar place for their offspring!

Last edited by Longbyt; 03.11.2015 at 15:40.
Reason: corrected to pre-schoolage!

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